H2/H∞ Control Design of Detectable Periodic Markov Jump Systems

被引：1
|
作者：
Hou, Ting [1 ,2 ]
Ma, Hongji [3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; STABILITY; SENSOR;
D O I：
10.1155/2015/382756
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An infinite horizon H-2/H-infinity control problem is addressed for discrete-time periodicMarkov jump systems with (x,u,v)- dependent noise. Above all, by use of the spectral criterion of detectability, an extended Lyapunov stability theorem is developed for the concerned dynamics. Further, based on a game theoretic approach, a state-feedback H-2/H-infinity control design is proposed. It is shown that under the condition of detectability H-2/H-infinity feedback gain can be constructed through the solution of a group of coupled periodic difference equations.
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收藏
页数：7
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